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Topics referred to by the same term
Look up inequality or ≠ in Wiktionary, the free dictionary. Inequality may refer to: Inequality (mathematics), a relation between two quantities when
Inequality
Topics referred to by the same term
Young's inequality may refer to: Young's inequality for products, bounding the product of two quantities Young's convolution inequality, bounding the
Young's_inequality
Mathematical inequality relating inner products and norms
The Cauchy–Schwarz inequality (also called Cauchy–Bunyakovsky–Schwarz inequality) is an upper bound on the absolute value of the inner product between
Cauchy–Schwarz_inequality
Bound on probability of a random variable being far from its mean
In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation
Chebyshev's_inequality
Mathematical theorem
Kantorovich inequality is a particular case of the Cauchy–Schwarz inequality, which is itself a generalization of the triangle inequality. The triangle
Kantorovich_inequality
Mathematical relation making a non-equal comparison
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often
Inequality_(mathematics)
inequality is a result that gives a lower bound for the bilinear form induced by a real linear elliptic partial differential operator. The inequality
Gårding's_inequality
Theorem on orthonormal sequences
In mathematics, especially functional analysis, Bessel's inequality is a statement about the coefficients of an element x {\displaystyle x} in a Hilbert
Bessel's_inequality
Concept in probability theory
In probability theory, Markov's inequality gives an upper bound on the probability that a non-negative random variable is greater than or equal to some
Markov's_inequality
Property of geometry, also used to generalize the notion of "distance" in metric spaces
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length
Triangle_inequality
Country in Central America
levels of inequality in each aspect of development can also be assessed. In 2015 inequality of life expectancy at birth was 19.6%, inequality in education
Honduras
Inequality between integrals in Lp spaces
In mathematical analysis, Hölder's inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the
Hölder's_inequality
This is a list of countries by inequality-adjusted Human Development Index (IHDI), as published by the United Nations Development Programme (UNDP) in its
List of countries by inequality-adjusted Human Development Index
List_of_countries_by_inequality-adjusted_Human_Development_Index
Concept in statistics
statistics, Samuelson's inequality, named after the economist Paul Samuelson, also called the Laguerre–Samuelson inequality, after the mathematician
Samuelson's_inequality
Distribution of income or wealth between different groups
Economic inequality is an umbrella term for three concepts: income inequality, how the total sum of money paid to people is distributed among them; wealth
Economic_inequality
Mathematical bound
In mathematics, Fischer's inequality gives an upper bound for the determinant of a positive-semidefinite matrix whose entries are complex numbers in terms
Fischer's_inequality
Uneven distribution of resources in a society
Social inequality occurs when resources within a society are distributed unevenly, often as a result of inequitable allocation practices that create distinct
Social_inequality
Theorem in Mathematics
Halanay inequality is a comparison theorem for differential equations with delay. This inequality and its generalizations have been applied to analyze
Halanay_inequality
Mathematical concept
In mathematics, Young's inequality for products is a mathematical inequality about the product of two numbers. The inequality is named after William Henry
Young's inequality for products
Young's_inequality_for_products
Carleman's inequality is an inequality in mathematics, named after Torsten Carleman, who proved it in 1923 and used it to prove the Denjoy–Carleman theorem
Carleman's_inequality
In real analysis, a branch of mathematics, Gautschi's inequality is an inequality for ratios of gamma functions. It is named after Walter Gautschi. Let
Gautschi's_inequality
Statement in information theory
In information theory, Gibbs' inequality is a statement about the information entropy of a discrete probability distribution. Several other bounds on the
Gibbs'_inequality
Probabilistic inequality applying on sum of bounded random variables
Hoeffding's inequality was proven by Wassily Hoeffding in 1963. Hoeffding's inequality is a special case of the Azuma–Hoeffding inequality and McDiarmid's
Hoeffding's_inequality
Idea and situation that women and men are not treated as equal
Gender inequality is the social phenomenon in which people are not treated equally on the basis of gender. This inequality can be caused by gender discrimination
Gender_inequality
Concept in Hlibert spaces mathematics
many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator inequalities connected with
Trace_inequality
Horizontal inequality is the inequality—economical, social or other—that does not follow from a difference in an inherent quality such as intelligence
Horizontal_inequality
Mathematical theorem
In mathematics, Grönwall's inequality (also called Grönwall's lemma or the Grönwall–Bellman inequality) allows one to bound a function that is known to
Grönwall's_inequality
Theorem in functional analysis
In mathematics, the Grothendieck inequality states that there is a universal constant K G {\displaystyle K_{G}} with the following property. If Mij is
Grothendieck_inequality
1755 treatise by Jean-Jacques Rousseau
Discourse on the Origin and Basis of Inequality Among Men (French: Discours sur l'origine et les fondements de l'inégalité parmi les hommes), also commonly
Discourse_on_Inequality
Theorem of convex functions
In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral
Jensen's_inequality
United Nations index for gender inequality
The Gender Inequality Index (GII) is an index for the measurement of gender disparity that was introduced in the 2010 Human Development Report 20th anniversary
Gender_Inequality_Index
Bobkov's inequality is a functional isoperimetric inequality for the canonical Gaussian measure. It generalizes the Gaussian isoperimetric inequality. The
Bobkov's_inequality
Mathematical inequality explaining concentration of random variables
In probability theory, concentration inequalities provide mathematical bounds on the probability of a random variable deviating from some value (typically
Concentration_inequality
countries and territories by income inequality metrics, as calculated by the World Bank, UNU-WIDER, OCDE, and World Inequality Database, based on different indicators
List of countries by income inequality
List_of_countries_by_income_inequality
Inequality in information theory
In information theory, Pinsker's inequality, named after its inventor Mark Semenovich Pinsker, is an inequality that bounds the total variation distance
Pinsker's_inequality
U.S. state
contributed more than $26 billion to education beginning in 1974. Income inequality in Ohio, both before and after taxes, has risen significantly since the
Ohio
Unequal treatment in the workplace
Occupational inequality is the unequal treatment of people based on gender, sexuality, age, disability, socioeconomic status, religion, height, weight
Occupational_inequality
Abhyankar's inequality is an inequality involving extensions of valued fields in algebra, introduced by Abhyankar (1956). Abhyankar's inequality states that
Abhyankar's_inequality
In mathematical analysis, Korn's inequality is an inequality concerning the gradient of a vector field that generalizes the following classical theorem:
Korn's_inequality
Difference between levels of participation of various groups in certain activities
In social sciences, participation inequality consists of difference between levels of participation of various groups in certain activities. Common examples
Participation_inequality
In geometry, Barrow's inequality is an inequality relating the distances between an arbitrary point within a triangle, the vertices of the triangle, and
Barrow's_inequality
Inequality in mathematics
Hardy's inequality is an inequality in mathematics, named after G. H. Hardy. Its discrete version states that if a 1 , a 2 , a 3 , … {\displaystyle a_{1}
Hardy's_inequality
Algebra theorem about convex functions
In mathematics, Karamata's inequality, named after Jovan Karamata, also known as the majorization inequality, is a theorem in elementary algebra for convex
Karamata's_inequality
In analytic number theory, the Burgess inequality (also called the Burgess bound) is an inequality that provides an upper bound for character sums S χ
Burgess_inequality
In mathematics, Peetre's inequality, named after Jaak Peetre, says that for any real number t {\displaystyle t} and any vectors x {\displaystyle x} and
Peetre's_inequality
Theorem
In mathematics, Hadamard's inequality (also known as Hadamard's theorem on determinants) is a result first published by Jacques Hadamard in 1893. It is
Hadamard's_inequality
Triangle inequality in Lp spaces
mathematical analysis, the Minkowski inequality establishes that the L p {\displaystyle L^{p}} spaces satisfy the triangle inequality in the definition of normed
Minkowski_inequality
Property of rank functions of matroids
In mathematics, Ingleton's inequality is an inequality that is satisfied by the rank function of any representable matroid. In this sense it is a necessary
Ingleton's_inequality
The inequality of wealth (i.e., inequality in the distribution of assets) has substantially increased in the United States since the late 1980s. Wealth
Wealth inequality in the United States
Wealth_inequality_in_the_United_States
Spread of wealth in a society
various members or groups in a society. It shows one aspect of economic inequality or economic heterogeneity. The distribution of wealth differs from the
Distribution_of_wealth
Testable implication of local hidden-variable theories
In physics, the Clauser–Horne–Shimony–Holt (CHSH) inequality can be used in the proof of Bell's theorem, which states that certain consequences of entanglement
CHSH_inequality
Topics referred to by the same term
Information inequality may mean in statistics, the Cramér–Rao bound, an inequality for the variance of an estimator based on the information in a sample
Information_inequality
Inequality applying to probability spaces
In probability theory, Boole's inequality, also known as the union bound, says that for any finite or countable set of events, the probability that at
Boole's_inequality
Correlation inequality
In mathematics, the Fortuin–Kasteleyn–Ginibre (FKG) inequality is a correlation inequality, a fundamental tool in statistical mechanics and probabilistic
FKG_inequality
In additive combinatorics, the Plünnecke–Ruzsa inequality is an inequality that bounds the size of various sumsets of a set B {\displaystyle B} , given
Plünnecke–Ruzsa_inequality
In mathematics, Jordan's inequality, named after Camille Jordan, states that 2 π x ≤ sin ( x ) ≤ x for x ∈ [ 0 , π 2 ] . {\displaystyle {\frac {2}{\pi
Jordan's_inequality
In mathematics, Ladyzhenskaya's inequality is any of a number of related functional inequalities named after the Soviet Russian mathematician Olga Aleksandrovna
Ladyzhenskaya's_inequality
This is a list of sovereign states by wealth inequality, including Gini coefficients. Wealth distribution can vary greatly from income distribution in
List of sovereign states by wealth inequality
List_of_sovereign_states_by_wealth_inequality
Mathematical theory
the mathematical theory of probability, Janson's inequality is a collection of related inequalities giving an exponential bound on the probability of
Janson_inequality
Inequality for Harmonic Functions
inequality is an inequality relating the values of a positive harmonic function at two points, introduced by A. Harnack (1887). Harnack's inequality is
Harnack's_inequality
Theorem about triangles
Ono's inequality is a theorem about triangles in the Euclidean plane. In its original form, as conjectured by Tôda Ono (小野藤太) in 1914, the inequality is
Ono's_inequality
Arithmetic mean is greater than or equal to geometric mean
In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative
AM–GM_inequality
Mathematical inequality in Sobolev space theory
the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to
Poincaré_inequality
In analysis, a branch of mathematics, Hilbert's inequality states that | ∑ r ≠ s u r u s ¯ r − s | ≤ π ∑ r | u r | 2 . {\displaystyle \left|\sum _{r\neq
Hilbert's_inequality
Topics referred to by the same term
Cauchy's inequality may refer to: Cauchy–Schwarz inequality in a real or complex inner product space Cauchy's estimate, also called Cauchy's inequality, for
Cauchy's_inequality
Besicovitch inequality is a geometric inequality relating volume of a set and distances between certain subsets of its boundary. The inequality was first
Besicovitch_inequality
Denmark has been noted as having one of the lowest income inequality ratings in the world and has been known to maintain relative stability in this metric
Income_inequality_in_Denmark
Theorem about inclusions between Sobolev spaces
In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to
Sobolev_inequality
Theorem in analysis
For other inequalities named after Wirtinger, see Wirtinger's inequality. In the mathematical field of analysis, the Wirtinger inequality is an important
Wirtinger's inequality for functions
Wirtinger's_inequality_for_functions
Inequality which involves a linear function
mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: < less than
Linear_inequality
Bound on optimal stopping in random sequences
In the theory of online algorithms and optimal stopping, a prophet inequality is a bound on the expected value of a decision-making process that handles
Prophet_inequality
Geometric inequality applicable to any closed curve
In mathematics, the isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the
Isoperimetric_inequality
Mathematical inequality
mathematics, Muirhead's inequality, named after Robert Franklin Muirhead, also known as the "bunching" method, generalizes the inequality of arithmetic and
Muirhead's_inequality
Database of wealth and income distribution
World Inequality Database (WID), previously The World Wealth and Income Database, also known as WID.world, is an extensive, open and accessible database
World_Inequality_Database
Inequality in mathematical analysis
In the field of mathematical analysis, an interpolation inequality is an inequality of the form ‖ u 0 ‖ 0 ≤ C ‖ u 1 ‖ 1 α 1 ‖ u 2 ‖ 2 α 2 … ‖ u n ‖ n
Interpolation_inequality
Ways inequality is measured
Income inequality metrics or income distribution metrics are used by social scientists to measure the distribution of income and economic inequality among
Income_inequality_metrics
Probabilistic inequality
theory, Ville's inequality provides an upper bound on the probability that a supermartingale exceeds a certain value. The inequality is named after Jean
Ville's_inequality
Mathematical inequality about the convolution of two functions
In mathematics, Young's convolution inequality is a mathematical inequality about the convolution of two functions, named after William Henry Young. In
Young's convolution inequality
Young's_convolution_inequality
Inequality in Hollywood refers to the various forms of discrimination and social inequality in the American media industry. There are many branches of
Inequality_in_Hollywood
Theorem in physics
would later be named a Bell inequality. Bell then showed that quantum physics predicts correlations that violate this inequality. Multiple variations on Bell's
Bell's_theorem
mathematics, Bendixson's inequality is a quantitative result in the field of matrices derived by Ivar Bendixson in 1902. The inequality puts limits on the imaginary
Bendixson's_inequality
Theorem in probability theory
In probability theory, Azuma's inequality or the Azuma–Hoeffding inequality (named after Kazuoki Azuma and Wassily Hoeffding) gives a concentration result
Azuma's_inequality
Shearer's inequality or also Shearer's lemma, in mathematics, is an inequality in information theory relating the entropy of a set of variables to the
Shearer's_inequality
whether it be greater or lesser, and hence perpetuates ascriptive inequality; inequality based on non-performance grounds. Talcott Parsons said in 1951 that
Ascriptive_inequality
Mathematical inequality related to Nesbitt's
In mathematics, the Shapiro inequality is an inequality proposed by Harold S. Shapiro in 1954. Suppose n is a natural number and x1, x2, …, xn are positive
Shapiro_inequality
Drawings of dense graphs have many crossings
In the mathematics of graph drawing, the crossing number inequality or crossing lemma gives a lower bound on the minimum number of edge crossings in a
Crossing_number_inequality
Geometric inequality or concentration inequality in mathematics and probability theory
In mathematics, the Brascamp–Lieb inequality is either of two inequalities. The first is a result in geometry concerning integrable functions on n-dimensional
Brascamp–Lieb_inequality
Inequality about exponentiations of ''1+x''
In mathematics, Bernoulli's inequality (named after Jacob Bernoulli) is an inequality that approximates exponentiations of 1 + x {\displaystyle 1+x}
Bernoulli's_inequality
Exponentially decreasing bounds on tail distributions of random variables
Markov's inequality or Chebyshev's inequality. The Chernoff bound is related to the Bernstein inequalities. It is also used to prove Hoeffding's inequality, Bennett's
Chernoff_bound
Inequalities in number theory and matrix theory
In linear algebra, Weyl's inequality is a theorem about the changes to eigenvalues of a Hermitian matrix that is perturbed. It can be used to estimate
Weyl's_inequality
Inequality between nations' wealth
International inequality refers to inequality between countries, as compared to global inequality, which is inequality between people across countries
International_inequality
Concept in information processing
The data processing inequality is an information theoretic concept that states that the information content of a signal cannot be increased via a local
Data_processing_inequality
mathematical inequalities. Agmon's inequality Askey–Gasper inequality Babenko–Beckner inequality Bernoulli's inequality Bernstein's inequality (mathematical
List_of_inequalities
Theorem in probability
The Khintchine inequality, is a result in probability also frequently used in analysis bounding the expectation a weighted sum of Rademacher random variables
Khintchine_inequality
Unequal distribution of academic resources
Inequality in education is broken down into different types: regional inequality, inequality by sex, inequality by social stratification, inequality by
Educational_inequality
Inequality in probability theorem
Cantelli's inequality (also called the Chebyshev-Cantelli inequality and the one-sided Chebyshev inequality) is an improved version of Chebyshev's inequality for
Cantelli's_inequality
income, gender[citation needed] and social inequality in Germany has been rising. Many of the inequalities that Germany is experiencing today can be traced
Inequality_in_Germany
Eilenberg's inequality, also known as the coarea inequality is a mathematical inequality for Lipschitz-continuous functions between metric spaces. Informally
Eilenberg's_inequality
Topics referred to by the same term
with inequalities due to Mikhail Gromov: Bishop–Gromov inequality Gromov's inequality for complex projective space Gromov's systolic inequality for essential
Gromov's_inequality
Mathematical inequality about convex functions
In convex analysis, Popoviciu's inequality is an inequality about convex functions. It is similar to Jensen's inequality and was found in 1965 by Tiberiu
Popoviciu's_inequality
INEQUALITY
INEQUALITY
INEQUALITY
INEQUALITY
Girl/Female
Muslim
One with good lineage
Surname or Lastname
English and Scottish
English and Scottish : extremely common and widely distributed topographic name for someone who lived on or by a hill, Middle English hill (Old English hyll).English : from the medieval personal name Hill, a short form of Hilary (see Hillary) or of a Germanic (male or female) compound name with the first element hild ‘strife’, ‘battle’.German : from a short form of Hildebrand or any of a variety of other names, male and female, containing Germanic hild as the first element.Jewish (American) : Anglicized form of various Jewish names of similar sound or meaning.English translation of Finnish Mäki (‘hill’), or of any of various other names formed with this element, such as Mäkinen, Heinämaki, Kivimäki.
Girl/Female
Muslim/Islamic
Beautiful Prior
Girl/Female
Muslim/Islamic
Commanding Personality, Dignity
Surname or Lastname
English
English : habitational name from Risley in Derbyshire and Lancashire or Riseley in Bedfordshire and Berkshire, all so named from Old English hrīs ‘brushwood’ + lēah ‘clearing’.
Girl/Female
Muslim/Islamic
As One
Girl/Female
Arabic, Muslim
To Compete with Pride
Girl/Female
Arabic, Muslim
Supremacy
Boy/Male
Indian, Marathi
God
Male
Scandinavian
Variant spelling of Scandinavian Hjalmar, HJALMARR means "helmet-warrior."
INEQUALITY
INEQUALITY
INEQUALITY
INEQUALITY
INEQUALITY
n.
An irregularity, or a deviation, in the motion of a planet or satellite from its uniform mean motion; the amount of such deviation.
n.
Disproportion to any office or purpose; inadequacy; competency; as, the inequality of terrestrial things to the wants of a rational soul.
pl.
of Inequality
n.
An expression consisting of two unequal quantities, with the sign of inequality (< or >) between them; as, the inequality 2 < 3, or 4 > 1.
n.
The quality of being unequal; difference, or want of equality, in any respect; lack of uniformity; disproportion; unevenness; disparity; diversity; as, an inequality in size, stature, numbers, power, distances, motions, rank, property, etc.
n.
Inequality; disparity; disproportion; difference of degree, rank, excellence, number, etc.
n.
A single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality.
a.
Difference in favor of one and against another; excess of one of two things or numbers over the other; inequality; advantage; superiority; hence, excess of chances; probability.
n.
An inequality.
n.
Inequality; difference in age, rank, condition, or excellence; dissimilitude; -- followed by between, in, of, as to, etc.; as, disparity in, or of, years; a disparity as to color.
v. i.
Unevenness; inequality of surface.
a.
Pertaining to an age, or the progress of ages, or to a long period of time; accomplished in a long progress of time; as, secular inequality; the secular refrigeration of the globe.
n.
Unevenness; want of levelness; the alternate rising and falling of a surface; as, the inequalities of the surface of the earth, or of a marble slab, etc.
n.
Variableness; changeableness; inconstancy; lack of smoothness or equability; deviation; unsteadiness, as of the weather, feelings, etc.
n.
An inequality in a board.
n.
Inequality in marriage; marriage with an inferior.
n.
The quality or state of being unequal; inequality; unevenness.
n.
Inequality of surface, as of the ground in the game of bowls; unevenness.